Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 55: Poster: Noneq. Stat. Phys., Stat. Bio. Phys., Brownian

DY 55.13: Poster

Thursday, April 4, 2019, 15:00–18:00, Poster B2

Diffusion of solitons — •Tony Albers and Günter Radons — Institute of Physics, Chemnitz University of Technology, Chemnitz, Germany

Solitons propagating in nonlinear dissipative media have properties different from the ones in conservative media. One of the special features of these solitons are explosions, i.e., transient enlargements of the soliton that can lead to a spatial shift of the center of mass of the soliton if the explosion is asymmetric. A long sequence of such asymmetric explosions leads to a random walk of the soliton which is reminiscent of a diffusion process [1,2]. In this contribution, we use a simple but prototypical model, namely the one-dimensional cubic-quintic complex Ginzburg-Landau equation, to investigate the dynamical behavior of the solitons. We will characterize the random motion with quantities known from diffusion theory and, especially, we will pay attention to the ergodic properties of the soliton motion. We introduce two stochastic models, one discrete in time and one continuous in time, which are able to reproduce the observed features of the soliton motion.
[1] J. Cisternas, O. Descalzi, T. Albers, and G. Radons, Phys. Rev. Lett. 116, 203901 (2016)
[2] J. Cisternas, T. Albers and G. Radons, Chaos 28, 075505 (2018)